10231131213000 has 384 divisors, whose sum is σ = 34982530801920. Its totient is φ = 2696740300800.

The previous prime is 10231131212999. The next prime is 10231131213001. The reversal of 10231131213000 is 31213113201.

10231131213000 is a `hidden beast` number, since 1 + 0 + 2 + 311 + 31 + 21 + 300 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10231131212999) and next prime (10231131213001).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10231131213001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 507058912 + ... + 507079088.

It is an arithmetic number, because the mean of its divisors is an integer number (91100340630).

Almost surely, 2^{10231131213000} is an apocalyptic number.

10231131213000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10231131213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17491265400960).

10231131213000 is an abundant number, since it is smaller than the sum of its proper divisors (24751399588920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10231131213000 is a wasteful number, since it uses less digits than its factorization.

10231131213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20854 (or 20837 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10231131213000 its reverse (31213113201), we get a palindrome (10262344326201).

The spelling of 10231131213000 in words is "ten trillion, two hundred thirty-one billion, one hundred thirty-one million, two hundred thirteen thousand".